Small swirlprismatic pyrihecatonicosihexacosichoron

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Small swirlprismatic pyrihecatonicosihexacosichoron
Rank4
TypeScaliform
Notation
Bowers style acronymSispyphix
Elements
Cells600 triangular prisms
120 pentagonal prisms
240 pentagrammic pyramids (as 120 compounds of 2)
Faces1200 triangles
600+600 squares
120 pentagons
120 pentagrams
Edges600 7-fold
600 9-fold
Vertices120
Measures (edge length 1)
Circumradius
Volume
Related polytopes
ArmyEx
RegimentSishi
ConjugateGreat swirlprismatic pyrihecatonicosihexacosichoron
Abstract & topological properties
Flag count38400
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureFeral

The small swirlprismatic pyrihecatonicosihexacosichoron or gisp pydixhi is a scaliform polychoron. It consists of 600 triangular prisms, 120 pentagonal prisms, and 240 pentagrammic pyramids (falling into pairs in the same hyperplanes, forming 120 compounds of 2). Thirty triangular prisms, ten pentagonal prisms, and twelve pentagrammic pyramids meet at each vertex.

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the general of its army, the hexacosichoron.

External links[edit | edit source]